WIT Press


On A Boundary-Only BEM For Heat Conduction In Non- Homogenous Anisotropic Media

Price

Free (open access)

Paper DOI

10.2495/BT970261

Volume

16

Pages

10

Published

1997

Size

873 kb

Author(s)

Eduardo Divo and Alain Kassab

Abstract

A generalized boundary integral equation (BIE) is formulated for heat conduction problems in anisotropic media with spatially varying thermal conductivity in terms of contour integrals only. A generalized fundamental solution E is derived as the symmetric response to a singular non-symmetric generalized forcing function, D. Both E and Dare functions of the thermal conductivity. Although locally radially symmetric about the source point, E varies within the domain as the source point changes position. Numerical results are provided to validate the new BIE 1. Introduction Many industrial materials exhibit property heterogeneities. For example, functionally gradient materials[l,2] refers to a class of modern materials whose

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